Fully Kernected Neural Networks

In this paper, we apply kernel methods to deep convolutional neural network (DCNN) to improve its nonlinear ability. DCNNs have achieved significant improvement in many computer vision tasks. For an image classification task, the accuracy comes to saturation when the depth and width of network are e...

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Main Authors: Wei Zhang, Zhi Han, Xiai Chen, Baichen Liu, Huidi Jia, Yandong Tang
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/1539436
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author Wei Zhang
Zhi Han
Xiai Chen
Baichen Liu
Huidi Jia
Yandong Tang
author_facet Wei Zhang
Zhi Han
Xiai Chen
Baichen Liu
Huidi Jia
Yandong Tang
author_sort Wei Zhang
collection DOAJ
description In this paper, we apply kernel methods to deep convolutional neural network (DCNN) to improve its nonlinear ability. DCNNs have achieved significant improvement in many computer vision tasks. For an image classification task, the accuracy comes to saturation when the depth and width of network are enough and appropriate. The saturation accuracy will not rise even by increasing the depth and width. We find that improving nonlinear ability of DCNNs can break through the saturation accuracy. In a DCNN, the former layer is more inclined to extract features and the latter layer is more inclined to classify features. Therefore, we apply kernel methods at the last fully connected layer to implicitly map features to a higher-dimensional space to improve nonlinear ability so that the network achieves better linear separability. Also, we name the network as fully kernected neural networks (fully connected neural networks with kernel methods). Our experiment result shows that fully kernected neural networks achieve higher classification accuracy and faster convergence rate than baseline networks.
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institution Kabale University
issn 2314-4785
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-ba9db2912cc342ce8e2c075d3b478ac52025-02-03T06:42:55ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/1539436Fully Kernected Neural NetworksWei Zhang0Zhi Han1Xiai Chen2Baichen Liu3Huidi Jia4Yandong Tang5State Key Laboratory of RoboticsState Key Laboratory of RoboticsState Key Laboratory of RoboticsState Key Laboratory of RoboticsState Key Laboratory of RoboticsState Key Laboratory of RoboticsIn this paper, we apply kernel methods to deep convolutional neural network (DCNN) to improve its nonlinear ability. DCNNs have achieved significant improvement in many computer vision tasks. For an image classification task, the accuracy comes to saturation when the depth and width of network are enough and appropriate. The saturation accuracy will not rise even by increasing the depth and width. We find that improving nonlinear ability of DCNNs can break through the saturation accuracy. In a DCNN, the former layer is more inclined to extract features and the latter layer is more inclined to classify features. Therefore, we apply kernel methods at the last fully connected layer to implicitly map features to a higher-dimensional space to improve nonlinear ability so that the network achieves better linear separability. Also, we name the network as fully kernected neural networks (fully connected neural networks with kernel methods). Our experiment result shows that fully kernected neural networks achieve higher classification accuracy and faster convergence rate than baseline networks.http://dx.doi.org/10.1155/2023/1539436
spellingShingle Wei Zhang
Zhi Han
Xiai Chen
Baichen Liu
Huidi Jia
Yandong Tang
Fully Kernected Neural Networks
Journal of Mathematics
title Fully Kernected Neural Networks
title_full Fully Kernected Neural Networks
title_fullStr Fully Kernected Neural Networks
title_full_unstemmed Fully Kernected Neural Networks
title_short Fully Kernected Neural Networks
title_sort fully kernected neural networks
url http://dx.doi.org/10.1155/2023/1539436
work_keys_str_mv AT weizhang fullykernectedneuralnetworks
AT zhihan fullykernectedneuralnetworks
AT xiaichen fullykernectedneuralnetworks
AT baichenliu fullykernectedneuralnetworks
AT huidijia fullykernectedneuralnetworks
AT yandongtang fullykernectedneuralnetworks